This tutorial shows how to solve optimal control problems with functions shipped with MATLAB (namely, Symbolic Math Toolbox and bvp4c). Steepest descent method is also implemented to compare with bvp4c.The examples are taken from some classic books on optimal control, which cover both free and fixed terminal time cases. The pitfalls and limitations of the methods (e.g., bvp4c) are stressed in the paper to help user to handle practical...

We use Conway's Game of Life to demonstrate different optimal control strategies for agent based models (ABM) with a focus on their computational complexity. We show different approaches for global and local controls.

Gauss Pseudospectral Optimization Software(GPOPS) is a MATLAB program for solving non-sequential multiple-phase optimal control problems. GPOPS uses the Gauss pseudospectral method (GPM) developed at MIT, Draper Laboratory, and The University of...

A control strategy for optimal operation of a hydroelectric dam is found through nonlinear and quadratic programming techniques. We use symbolic math to formulate an original model of the hydroelectric dam and then optimize the operation schedule...

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